On normal modules
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recall that a commutative ring R is said to be a normal ring if it is reduced and every two distinct minimal prime ideals are comaximal. A finitely generated reduced R-module M is said to be a normal module if every two distinct minimal prime submodules are comaximal. The concepts of normal modules and locally torsion free modules are different, whereas they are equal in theory of commutative rings. We give many properties and examples of normal modules, we use them to characterize locally torsion free modules and Baer modules. Also, we give the topological characterizations of normal modules.
Açıklama
Anahtar Kelimeler
Baer Modules, Locally Torsion-Free Modules, Normal Modules, Quasi-Regular Modules, Baer
Kaynak
Communications In Algebra
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
51
Sayı
4
